Mathematics
6 Online
OpenStudy (anonymous):
Explain how to find the exact value of sin120
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OpenStudy (anonymous):
@akhaliq99
OpenStudy (anonymous):
Isn't it the same as sin30?
jimthompson5910 (jim_thompson5910):
|dw:1359950211928:dw|
jimthompson5910 (jim_thompson5910):
so
sin(120) = sin(60)
OpenStudy (anonymous):
How do you find sin 0?
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OpenStudy (anonymous):
there's no triangle?
jimthompson5910 (jim_thompson5910):
sin(60) you mean?
OpenStudy (anonymous):
no, sin 0
jimthompson5910 (jim_thompson5910):
oh sin(0) = 0
jimthompson5910 (jim_thompson5910):
look at the unit circle, at the angle theta = 0 the height of the "triangle" there is 0
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OpenStudy (anonymous):
but how do you know that? cos 0 is 1 for some reason i don't know
jimthompson5910 (jim_thompson5910):
sin(theta) corresponds to the height of the triangle on the unit circle
jimthompson5910 (jim_thompson5910):
|dw:1359952557784:dw|
jimthompson5910 (jim_thompson5910):
|dw:1359952578067:dw|
jimthompson5910 (jim_thompson5910):
now if theta was theta = 1, then you'd have something like this
|dw:1359952647658:dw|
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jimthompson5910 (jim_thompson5910):
as theta gets smaller and smaller, so does sin(theta)
so that's why sin(0) = 0
OpenStudy (anonymous):
huh? but how is there a triangle if the angle is 0?
jimthompson5910 (jim_thompson5910):
there isn't, but try finding sin(1), sin(0.5), sin(0.01), sin(0.001) and tell me what you get
OpenStudy (anonymous):
you can't tell me what to do
jimthompson5910 (jim_thompson5910):
I'm just trying to get you to think